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126551420424 = 2332111355722067
BaseRepresentation
bin111010111011100001…
…1010110111000001000
3110002122120211020210100
41311313003112320020
54033134130423144
6134045324045400
712100030216332
oct1656703267010
9402576736710
10126551420424
1149740a83270
1220639993860
13bc1a59ccc0
1461a7494452
15345a212269
hex1d770d6e08

126551420424 has 192 divisors, whose sum is σ = 403404805440. Its totient is φ = 35333844480.

The previous prime is 126551420423. The next prime is 126551420459. The reversal of 126551420424 is 424024155621.

126551420424 is a `hidden beast` number, since 1 + 26 + 551 + 42 + 0 + 42 + 4 = 666.

It is a super-2 number, since 2×1265514204242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126551420423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5723839 + ... + 5745905.

It is an arithmetic number, because the mean of its divisors is an integer number (2101066695).

Almost surely, 2126551420424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126551420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201702402720).

126551420424 is an abundant number, since it is smaller than the sum of its proper divisors (276853385016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126551420424 is a wasteful number, since it uses less digits than its factorization.

126551420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22660 (or 22653 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 126551420424 in words is "one hundred twenty-six billion, five hundred fifty-one million, four hundred twenty thousand, four hundred twenty-four".